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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 385

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. nterenia
  2. D. de
  3. letinica
  4. extribe
  5. 115ADC
  6. B
  7. eruneib,
  8. DaB
  9. ne
  10. ircut
  11. dempe
  12. CM
  13. 38
  14. RESFORSDRDM. EFDER VITI.
  15. lum BDC. Ouare criangulum BAV _ GUAIE CHTHAnguIODAC, SeV BAF. Spacium ita-
  16. que mistilineum illud DBC, aequale est lectori DAC ex trianoulo BA L. CIITODIGUC M-
  17. dacur sectio BF. Spacium isicur mistilincum illud DBC addicum sectioni BF, aequale est
  18. lectoribus BAF, CAD. Ouod erat octendendum.
  19. PR OPOSFFLOVTTI.
  20. Si ab UnaGUAqLC exTremitatum diametri, Cumantur in candem partem
  21. circuli circum ferenciae aguales; ab altera aurem carundem exrremitatum,
  22. incribantur linex rectae ad cerminos sumptarum aequalium circumteren-
  23. tiarum: spacium circuli quod inter rectasin eriptas interjacet, ae quale est
  24. lectori ab eadem circumterentia, qua spacium iplum, comprehenlo.
  25. Reperatyr aucecedens diaoramma. Dico spacium circuli E B D comprehensum à rC
  26. ctis F.B, BD e circumterentia FD, esle aequale sectori E. AD. A lemicirculo enim BF. C.
  27. anteratur spacium BD C comprchentum a rectis BD, BC d circumferentia D C, ip (2
  28. etiam dematur sectio BE: Superesitaque spacium EBD comprehensum d rectis EB, BD
  29. de circumterentia E D. Ab eodem aurem semicirculo auteranEUE seCEOrES CAD, BAF
  30. qui quidem praedictomistilineo BD C spacio, una cum sectione BE sune aequales. Super-
  31. CsLIGITE SECtOFEAD. ErgOlectOrI E. AD aequale eA spacium E. BD comprehentum a re-
  32. Atis E. B, BD e circum ferentia FD. Ouod ecar ostendendum.
  33. PEOPOSFFTO IZ.
  34. CUM aD eOdCI pUInCtO CIFCUIFCFENFIX IINSCFIBUNET CHCMO ErCS LInCX
  35. rectae, quarum media latus est retrasoni, secans bitariam angulum ab in-
  36. Ccripris exrremis Factum. Itaque delcripra sune duo criangularia spacia.
  37. Quorum bales sune circumterentix xquales, latus aurem in(eripti LCETAGO-
  38. ni crus ucrique commune. Dimidiam differentiam duorum illorum spa-
  39. ciorum criangularium, figurx cum miltilinex, cum rectilinex, adae quarc.
  40. Suib A centro, intervallo quocun-
  41. que AB describatur circulus, in quo
  42. Cumatur B C circumferentia FerraGO
  43. ni, et a puncto C lumantur verin-
  44. que circumferentix aquales CD, CF
  45. circumferentia cecrasoni iminores,
  46. ee subrendantur BD, BF. SunE ita-
  47. que descripra duo spacia triangularia
  48. DBC, CBE, quorum bales DC, CF
  49. Cune circumferentixe aequales. larus
  50. aurem cerraconi BC crus est eistrian.
  51. sulis mistilineis commune. Ttagne
  52. oporrer dimidiam differentiam duo
  53. rum illorum spaciorum eriangula.
  54. cium, Egurxe cum miltilinex cum se-
  55. ciam abscindane BD, BE in F, C. Dico in primis disterenciam dimidiam inter spacium
  56. BC _ spacium CBF, aquari criangulo mistilinco CGF, Ccu CDF. Deleriptus
  57. enim circulus sub Bcenero, incerrallo B C duplus tic ad circulum sub ACenErO, incer-
  58. allo AB delcriprum. Leaque sector F B C ad illum percinens circulum, aequalis est le
  59. tori D A E ad hunc perrinenri; qui quidem sector D A F. xqualis octensus est spacio
  60. histilinco DBE. Ouare Si ab his aequalibus commune verinque auferarur spaciummi-
  61. lincum BD C C, relinquerurrriansulutr. mistilineum C. D F eriangulo mistilineo CCF.
  62. equale. Estaurem FBC sector dimidiusrorius lectoris FBC, id est spacii mixcilinei DBF.
  63. inaequa
  64. Ccilined daaequare.
  65. Sub cenero B, interrallo BC de
  66. Ccribatur circulus, cujus circumferen.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 385. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0391?run=74